Q1.check whether the following equation the quadratic or not (I) x2-6x+4=0 (ii) x3-6x2+2x-1=0 (III) x2-1/2=2 (iv) (2x+1) (3x+1)=(x-1) (x-2)
Answers
Explanation:
General form of quadratic equation: ax²+bx+c
(i) x²-6x+4 = 0
It is a quadratic equation as it is in the form of ax²+bx+c which is the general form of a quadratic equation.
(ii) x³-6x²+2x-1=0
It is not satisfies the condition of quadratic equation as the highest power is 3.
Hence,it is not a quadratic equation.
(iii) x²-1/2=2
It is also not a quadratic equation as the term x is Missing here.
(iv) (2x+1)(3x+1)=(x-1)(x-2)
=> 2x(3x+1)+1(3x+1)= x(x-2)-1(x-2)
=> 6x²+2x+3x+1= x²-2x-x+2
Make like terms together
=> 6x²-x²+2x+3x+2x+x+1-2
=> 5x²+8x-1
The resultant polynomial is a quadratic equation .
More information=>
A quadratic equation is a a Equation in which the highest degree is 2 .
Form of quadratic equation : ax²+bx+c
where a,b& c ∈ R and c ≠ 0.
Answer:
Explanation:
X3-6x2+2x-1=0